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Finding the Third Proportional to 402,159,986 and 614,936,784

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Solution

The third proportional to 402,159,986 and 614,936,784 is: 940,290,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,159,986 : 614,936,784 = 614,936,784 : x
  2. Step 2: Convert to fraction form
    402,159,986/614,936,784 = 614,936,784/x
  3. Step 3: Cross multiply
    402,159,986x = 614,936,784 × 614,936,784
  4. Step 4: Simplify right side
    402,159,986x = 378,147,248,316,262,656
  5. Step 5: Solve for x
    x = 378,147,248,316,262,656/402,159,986
  6. Step 6: Final answer
    x = 940,290,584.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.